Finite Group Databasebeta

← #8424380

Subgroups — #8424380

Order 512.

5351 conjugacy classes of subgroups.

The subgroup lattice has 1841 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59326C212yesmaximal, complemented
3#59057C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59039C212yesmaximal, complemented
6#55010C214yesmaximal, complemented
7#54956C214yesmaximal, complemented
8#53046C212yesmaximal, complemented
9#53025C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#52970C212yesmaximal, complemented
12#52327C214yesmaximal, complemented
13#42909C212yesmaximal, complemented
14#42617C212yesmaximal, complemented
15#42547C212yesmaximal, complemented
16#42533C212yesmaximal, complemented
17#40914C214yesmaximal, complemented
18#40148C212yesmaximal, complemented
19#39853C212yesmaximal, complemented
20#39609C211yesmaximal, characteristic, complemented
21#39608C211yesmaximal, characteristic, complemented
22#39340C211yesmaximal, characteristic, complemented
23#39130C212yesmaximal, complemented
24#39126C211yesmaximal, characteristic, complemented
25#37780C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37554C212yesmaximal, complemented
29#37512C212yesmaximal, complemented
30#36476C211yesmaximal, characteristic, complemented
31#36164C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2212yes—
45C2×#532C2212yes—
46C2×#529C2211yescharacteristic
47C2×#529C2212yes—
48#2862C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2850C2212yes—
53#2841C2214yes—
54#2837C2214yes—
55#2832C2214yes—
56#2831C2214yes—
57#2829C2214yes—
58#2828C2214yes—
59#2826C2214yes—
60#2824C2214yes—
61#2820C2214yes—
62#2819C2214yes—
63#2819C2214yes—
64#2816C2214yes—
65#2814C2214yes—
66#2813C2214yes—
67#2774C2214yes—
68#2768C2214yes—
69#2763C2214yes—
70#2763C2214yes—
71#2753C2214yes—
72#2752C2214yes—
73#2750C2214yes—
74#2743C2214yes—
75#2743C2214yes—
76#2742C2214yes—
77#2741C2214yes—
78#2733C2214yes—
79#2730C2214yes—
80#2730C2214yes—
81#2712C2214yes—
82#2710C2214yes—
83#2702C2214yes—
84#2701C2214yes—
85#2700C2214yes—
86#2699C2214yes—
87#2694C2214yes—
88#2692C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2686C2214yes—
92#2686C2214yes—
93#2681C2214yes—
94#2676C2214yes—
95#2676C2214yes—
96#2673C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2672C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2671C2214yes—
103#2671C2214yes—
104#2656C2214yes—
105#2648C2214yes—
106#2648C2214yes—
107#2639C2214yes—
108#2636C2214yes—
109#2636C2214yes—
110#2636C2214yes—
111#2635C2214yes—
112#2635C2214yes—
113#2630C2214yes—
114#2629C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2620C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2619C2212yes—
121#2619C2212yes—
122#2619C2212yes—
123#2616C2212yes—
124#2615C2212yes—
125#2615C2212yes—
126#2615C2214yes—
127#2607C2214yes—
128#2589C2214yes—
129#2580C2212yes—
130#2580C2212yes—
131#2574C2214yes—
132#2570C2212yes—
133#2568C2211yescharacteristic
134#2567C2212yes—
135#2566C2212yes—
136#2564C2214yes—
137#2563C2212yes—
138#2563C2211yescharacteristic
139#2563C2211yescharacteristic
140#2563C2212yes—
141#2562C2212yes—
142#2559C2212yes—
143#2557C2212yes—
144#2555C2214yes—
145#2554C2214yes—
146#2553C2212yes—
147#2553C2212yes—
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2211yescharacteristic
151#2548C2211yescharacteristic
152#2547C2211yescharacteristic
153#2544C2212yes—
154#2544C2211yescharacteristic
155#2542C2211yescharacteristic
156#2542C2211yescharacteristic
157#2541C2211yescharacteristic
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2541C2212yes—
162#2540C2212yes—
163#2540C2211yescharacteristic
164#2537C2212yes—
165#2537C2212yes—
166#2537C2211yescharacteristic
167#2537C2211yescharacteristic
168#2537C2212yes—
169#2537C2212yes—
170#2536C2212yes—
171#2535C2212yes—
172#2535C2211yescharacteristic
173#2521C2212yes—
174#2511C2212yes—
175#2509C2212yes—
176#2508C2212yes—
177#2505C2214yes—
178#2504C2212yes—
179#2503C2212yes—
180#2501C2212yes—
181#2497C2212yes—
182#2496C2211yescharacteristic
183#2496C2211yescharacteristic
184#2492C2211yescharacteristic
185#2492C2212yes—
186#2492C2212yes—
187#2491C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2490C2212yes—
191#2490C2211yescharacteristic
192#2489C2212yes—
193#2489C2212yes—
194#2489C2212yes—
195#2488C2214yes—
196#2488C2214yes—
197#2487C2212yes—
198#2467C2214yes—
199#2464C2212yes—
200#2456C2214yes—
201#2456C2214yes—
202#2455C2214yes—
203#2454C2212yes—
204#2452C2212yes—
205#2451C2212yes—
206#2450C2214yes—
207#2450C2214yes—
208#2448C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2445C2214yes—
212#2445C2212yes—
213#2442C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2431C2212yes—
217#2430C2214yes—
218#2430C2214yes—
219#2430C2214yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2214yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2427C2211yescharacteristic
229#2427C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2422C2211yescharacteristic
237#2422C2211yescharacteristic
238#2422C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2214yes—
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2214yes—
253#2407C2212yes—
254#2407C2214yes—
255#2395C2212yes—
256#2395C2212yes—
257#2395C2212yes—
258#2388C2212yes—
259#2388C2214yes—
260#2369C2211yescharacteristic
261#2366C2212yes—
262#2365C2211yescharacteristic
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2357C2212yes—
267#2355C2212yes—
268Q8×C4⋊C4C2211yescharacteristic
269#2349C2212yes—
270#2349C2214yes—
271D4×C4⋊C4C2211yescharacteristic
272#2339C2212yes—
273#2339C2212yes—
274#2339C2212yes—
275#2339C2212yes—
276#2325C2214yes—
277#2324C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#382C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304#559—48no—
305#554—44no—
306#550—48no—
307#547—44no—
308#537—48no—
309#532—48no—
310#532—44no—
311#532—44no—
312#532—44no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2314yes—
325C2×#127C2311yescharacteristic
326#529—48no—
327#529—44no—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C42C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2314yes—
452#400C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#393C2312yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#392C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2312yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—48no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—84no—
836C2×#41—82no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C4⋊Q8—24no—
888C4⋊Q8—24no—
889C4⋊Q8—42no—
890C4⋊Q8—44no—
891C4⋊Q8—42no—
892C4⋊Q8—44no—
893#127—28no—
894#127—24no—
895#127—44no—
896#127—42no—
897#127—44no—
898#127—48no—
899#126—44no—
900#126—44no—
901#126—44no—
902#125—42no—
903#125—44no—
904#125—44no—
905#124—24no—
906#124—44no—
907#124—48no—
908#124—42no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#124—48no—
915#123—48no—
916#123—48no—
917#123—44no—
918#123—44no—
919#123—44no—
920#123—48no—
921#123—84no—
922C22⋊Q8—24no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—82no—
934C22⋊Q8—84no—
935#121—28no—
936#121—24no—
937#121—24no—
938#121—28no—
939#121—24no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—48no—
949#121—44no—
950#121—42no—
951#121—44no—
952#121—42no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—42no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—48no—
964#121—48no—
965#121—84no—
966#121—84no—
967#121—84no—
968C4×Q8—24no—
969C4×Q8—28no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—24no—
980C4×D4—42no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—42no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—82no—
1001#117—44no—
1002#117—44no—
1003#117—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C42—24no—
1138C2×C42—28no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227C24C2512yes—
1228C24C2514yes—
1229C24C2512yes—
1230#41—816no—
1231#41—832no—
1232#41—816no—
1233#41—816no—
1234#41—816no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—44no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—28no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—41no—
1279C2×D4—44no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4H(5,𝔽2)14yes—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—41no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—41no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C42−1+414yes—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—22no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—41no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C42—22no—
1545C42—24no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—42no—
1561C42—42no—
1562C42—44no—
1563C42—41no—
1564C42—44no—
1565C42—44no—
1566C42—41no—
1567C42H(5,𝔽2)14yes—
1568C42H(5,𝔽2)14yes—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—24no—
1581C23—22no—
1582C23—21no—
1583C23—24no—
1584C23—24no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—24no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—24no—
1608C23—22no—
1609C23—21no—
1610C23C2×H(5,𝔽2)14yes—
1611C23C2611yescharacteristic
1612Q8—44no—
1613Q8—48no—
1614Q8—84no—
1615Q8—84no—
1616Q8—84no—
1617Q8—88no—
1618D4—28no—
1619D4—416no—
1620D4—44no—
1621D4—48no—
1622D4—44no—
1623D4—44no—
1624D4—48no—
1625D4—48no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—88no—
1631D4—88no—
1632D4—88no—
1633D4—88no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—88no—
1642D4—164no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—82no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4—88no—
1735C2×C4—88no—
1736C2×C4—164no—
1737C2×C4—164no—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×2−1+414yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C22—24no—
1750C22—24no—
1751C22—24no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—44no—
1761C22—41no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—44no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—44no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—41no—
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C22×H(5,𝔽2)11yescharacteristic
1793C22C22×H(5,𝔽2)11yescharacteristic
1794C22C22×2−1+411yescharacteristic
1795C22C2×#58511yescharacteristic
1796C22C2×#58511yescharacteristic
1797C22H(7,𝔽2)11yescharacteristic
1798C4—24no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—41no—
1804C4—42no—
1805C4—41no—
1806C4—42no—
1807C4—44no—
1808C4—41no—
1809C4—41no—
1810C4—42no—
1811C4—42no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—44no—
1823C4—42no—
1824C4—41no—
1825C4#354814yes—
1826C4#355814yes—
1827C2—44no—
1828C2—81no—
1829C2—81no—
1830C2—82no—
1831C2—82no—
1832C2—84no—
1833C2C2×#355811yescharacteristic
1834C2C2×#354811yescharacteristic
1835C2#6275911yescharacteristic
1836C2#6291211yescharacteristic
1837C2#6292411yescharacteristic
1838C2#6295211yescharacteristic
1839C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59641C2semidirect
2. #59326C2semidirect
3. #59057C2semidirect
4. #59051C2semidirect
5. #59039C2semidirect
6. #55010C2semidirect
7. #54956C2semidirect
8. #53046C2semidirect
9. #53025C2semidirect
10. #53016C2semidirect
11. #52970C2semidirect
12. #52327C2semidirect
13. #42909C2semidirect
14. #42617C2semidirect
15. #42547C2semidirect
16. #42533C2semidirect
17. #40914C2semidirect
18. #40148C2semidirect
19. #39853C2semidirect
20. #39609C2semidirect
21. #39608C2semidirect
22. #39340C2semidirect
23. #39130C2semidirect
24. #39126C2semidirect
25. #37780C2semidirect
26. #37639C2semidirect
27. #37616C2semidirect
28. #37554C2semidirect
29. #37512C2semidirect
30. #36476C2semidirect
31. #36164C2semidirect
32. #36149C2semidirect
33. #34932C2semidirect
34. #34925C2semidirect
35. #34889C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#596412
#593262
#590572
#590512
#590392
#550102
#549562
#530462
#530252
#530162
#529702
#523272
#429092
#426172
#425472
#425332
#409142
#401482
#398532
#396092
#396082
#393402
#391302
#391262
#377802
#376392
#376162
#375542
#375122
#364762
#361642
#361492
#349322
#349252
#348892